SOLUTION: A solid metal cube of side 6 inches is placed in a rectangular tank whose length, width, and height are 1, 2, and 3 feet. What is the volume, in cubic units, of water that the t

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Geometry -> SOLUTION: A solid metal cube of side 6 inches is placed in a rectangular tank whose length, width, and height are 1, 2, and 3 feet. What is the volume, in cubic units, of water that the t      Log On

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Question 116139: A solid metal cube of side 6 inches is placed in a rectangular tank whose length, width, and height are 1, 2, and 3 feet. What is the volume, in cubic units, of water that the tank can now hold?

Found 2 solutions by checkley71, Fombitz:
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
THE TANK HAS A VOLUME OF 1*2*3=6 FT^3
THE CUBE=.5*.5*.5=.125 FT^3
THUS THE AVAILABLE VOLUME FOR WATER IS:
6-.125=5.875 FT^3 OF WATER TO FILL THE TANK.

Answer by Fombitz(13823) About Me  (Show Source):
You can put this solution on YOUR website!
Originally the tank had a volume of 6 (1 ft x 2 ft x 3 ft) cubic feet.
The metal cube takes up 1/8 (1/2 ft x 1/2 ft x 1/2 ft) cubic feet.
The tank can now hold 5 7/8 (6-1/8) cubic feet.